Geodesic
Initial-value problems for hybrid Hadamard fractional differential equations
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we discuss the existence of solutions for an initial-value problem of nonlinear hybrid differential equations of Hadamard type. The main result is proved by means of a fixed point theorem due to Dhage. An example illustrating the existence result is also presented.
Classification : 34A08, 34B18
Keywords: Hadamard fractional derivative, initial value problem, fixed point theorem, existence 
@article{EJDE_2014__2014__a59,
     author = {Ahmad,  Bashir and Ntouyas,  Sotiris K.},
     title = {Initial-value problems for hybrid {Hadamard} fractional differential equations},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1300.34012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a59/}
}
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Ahmad,  Bashir; Ntouyas,  Sotiris K. Initial-value problems for hybrid Hadamard fractional differential equations. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a59/